TY - BOOK AU - Ablowitz, M. J. AU - Segur, H. PY - 1981 DA - 1981// TI - Solitons and Inverse Scattering Transform PB - SIAM CY - Philadelphia UR - https://doi.org/10.1137/1.9781611970883 DO - 10.1137/1.9781611970883 ID - Ablowitz1981 ER - TY - BOOK AU - Hirota, R. PY - 2004 DA - 2004// TI - The Direct Method in Soliton Theory PB - Cambridge University Press CY - Cambridge UR - https://doi.org/10.1017/CBO9780511543043 DO - 10.1017/CBO9780511543043 ID - Hirota2004 ER - TY - JOUR AU - Lv, X. AU - Peng, M. S. PY - 2013 DA - 2013// TI - Nonautonomous motion study on accelerated and decelerated solitons for the variable-coefficient Lenells-Fokas model JO - Chaos VL - 23 UR - https://doi.org/10.1063/1.4790827 DO - 10.1063/1.4790827 ID - Lv2013 ER - TY - JOUR AU - Ma, W. X. PY - 1999 DA - 1999// TI - Bäcklund transformation and its superposition principle of a Blaszak-Marciniak four-field lattice JO - J. Math. Phys. VL - 40 UR - https://doi.org/10.1063/1.533071 DO - 10.1063/1.533071 ID - Ma1999 ER - TY - JOUR AU - Tian, B. AU - Gao, Y. T. AU - Zhu, H. W. PY - 2007 DA - 2007// TI - Variable-coefficient higher-order nonlinear Schrodinger model in optical fibers: variable-coefficient bilinear form, Backlund transformation, brightons and symbolic computation JO - Phys. Lett. A VL - 366 UR - https://doi.org/10.1016/j.physleta.2007.02.098 DO - 10.1016/j.physleta.2007.02.098 ID - Tian2007 ER - TY - JOUR AU - Gao, Y. T. AU - Tian, B. PY - 2007 DA - 2007// TI - On the non-planar dust-ion-acoustic waves in cosmic dusty plasmas with transverse perturbations JO - Europhys. Lett. VL - 77 UR - https://doi.org/10.1209/0295-5075/77/15001 DO - 10.1209/0295-5075/77/15001 ID - Gao2007 ER - TY - JOUR AU - Li, Y. S. AU - Ma, W. X. AU - Zhang, J. E. PY - 2000 DA - 2000// TI - Darboux transformations of classical Boussinesq system and its new solutions JO - Phys. Lett. A VL - 275 UR - https://doi.org/10.1016/S0375-9601(00)00583-1 DO - 10.1016/S0375-9601(00)00583-1 ID - Li2000 ER - TY - JOUR AU - Lv, X. PY - 2013 DA - 2013// TI - Soliton behavior for a generalized mixed nonlinear Schrodinger model with N-fold Darboux transformation JO - Chaos VL - 23 UR - https://doi.org/10.1063/1.4821132 DO - 10.1063/1.4821132 ID - Lv2013 ER - TY - JOUR AU - Lou, S. Y. AU - Wu, Q. X. PY - 1999 DA - 1999// TI - Painlevé integrability of two sets of nonlinear evolution equations with nonlinear dispersions JO - Phys. Lett. A VL - 262 UR - https://doi.org/10.1016/S0375-9601(99)00580-0 DO - 10.1016/S0375-9601(99)00580-0 ID - Lou1999 ER - TY - BOOK PY - 1994 DA - 1994// TI - CRC Handbook of Lie Group Analysis of Differential Equations, Vols. 1-3 PB - CRC Press CY - Boca Raton ID - ref10 ER - TY - BOOK AU - Bluman, G. W. AU - Cheviakov, A. AU - Anco, S. PY - 2010 DA - 2010// TI - Applications of Symmetry Methods to Partial Differential Equations PB - Springer CY - New York UR - https://doi.org/10.1007/978-0-387-68028-6 DO - 10.1007/978-0-387-68028-6 ID - Bluman2010 ER - TY - BOOK AU - Olver, P. J. PY - 1986 DA - 1986// TI - Application of Lie Group to Differential Equation PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4684-0274-2 DO - 10.1007/978-1-4684-0274-2 ID - Olver1986 ER - TY - BOOK AU - Ovsiannikov, L. V. PY - 1982 DA - 1982// TI - Group Analysis of Differential Equations PB - Academic Press CY - New York ID - Ovsiannikov1982 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. AU - Ebadi, G. AU - Johnson, S. AU - Strong, A. J. AU - Biswas, A. PY - 2014 DA - 2014// TI - Singular solitons, shock waves, and other solutions to potential KdV equation JO - Nonlinear Dyn. VL - 76 UR - https://doi.org/10.1007/s11071-013-1189-9 DO - 10.1007/s11071-013-1189-9 ID - Wang2014 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. AU - Johnson, S. AU - Biswas, A. PY - 2014 DA - 2014// TI - Solitons and Lie group analysis to an extended quantum Zakharov-Kuznetsov equation JO - Astrophys. Space Sci. VL - 349 UR - https://doi.org/10.1007/s10509-013-1659-z DO - 10.1007/s10509-013-1659-z ID - Wang2014 ER - TY - JOUR AU - Wang, G. W. AU - Liu, X. Q. AU - Zhang, Y. Y. PY - 2013 DA - 2013// TI - Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation JO - Commun. Nonlinear Sci. Numer. Simul. VL - 18 UR - https://doi.org/10.1016/j.cnsns.2012.12.003 DO - 10.1016/j.cnsns.2012.12.003 ID - Wang2013 ER - TY - JOUR AU - Vaneeva, O. O. AU - Kuriksha, O. AU - Sophocleous, C. PY - 2015 DA - 2015// TI - Enhanced group classification of Gardner equations with time-dependent coefficients JO - Commun. Nonlinear Sci. Numer. Simul. VL - 22 UR - https://doi.org/10.1016/j.cnsns.2014.09.016 DO - 10.1016/j.cnsns.2014.09.016 ID - Vaneeva2015 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. AU - Abazari, R. AU - Jovanoski, Z. AU - Biswas, A. PY - 2014 DA - 2014// TI - Shock waves and other solutions to the Benjamin-Bona-Mahoney-Burgers equation with dual power-law nonlinearity JO - Acta Phys. Pol. A VL - 126 UR - https://doi.org/10.12693/APhysPolA.126.1221 DO - 10.12693/APhysPolA.126.1221 ID - Wang2014 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. AU - Liu, X. Q. PY - 2014 DA - 2014// TI - New explicit solutions of the fifth-order KdV equation with variable coefficients JO - Bull. Malays. Math. Soc. VL - 37 ID - Wang2014 ER - TY - JOUR AU - Wang, G. W. AU - Liu, X. Q. AU - Zhang, Y. Y. PY - 2013 DA - 2013// TI - Lie symmetry analysis to the time fractional generalized fifth-order KdV equation JO - Commun. Nonlinear Sci. Numer. Simul. VL - 18 UR - https://doi.org/10.1016/j.cnsns.2012.11.032 DO - 10.1016/j.cnsns.2012.11.032 ID - Wang2013 ER - TY - JOUR AU - Wang, G. W. AU - Kara, A. H. PY - 2015 DA - 2015// TI - Conservation laws, multipliers, adjoint equations and Lagrangians for Jaulent-Miodek and some families of systems of KdV type equations JO - Nonlinear Dyn. VL - 81 UR - https://doi.org/10.1007/s11071-015-2025-1 DO - 10.1007/s11071-015-2025-1 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Kara, A. H. PY - 2015 DA - 2015// TI - Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers’ equation JO - Chaos Solitons Fractals VL - 81 UR - https://doi.org/10.1016/j.chaos.2015.09.030 DO - 10.1016/j.chaos.2015.09.030 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Kara, A. H. AU - Fakhar, K. PY - 2015 DA - 2015// TI - Symmetry analysis and conservation laws for the class of time fractional nonlinear dispersive equation JO - Nonlinear Dyn. VL - 82 UR - https://doi.org/10.1007/s11071-015-2156-4 DO - 10.1007/s11071-015-2156-4 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Fakhar, K. PY - 2015 DA - 2015// TI - Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)$(2+1)$-dimensional Zakharov-Kuznetsov-Burgers equation JO - Comput. Fluids VL - 119 UR - https://doi.org/10.1016/j.compfluid.2015.06.033 DO - 10.1016/j.compfluid.2015.06.033 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. PY - 2015 DA - 2015// TI - Group analysis, explicit solutions and conservation laws of the logarithmic-KdV equation JO - J. Korean Phys. Soc. VL - 66 UR - https://doi.org/10.3938/jkps.66.1475 DO - 10.3938/jkps.66.1475 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Xu, T. Z. AU - Biswas, A. PY - 2014 DA - 2014// TI - Topological solitons and conservation laws of the coupled Burgers equation JO - Rom. Rep. Phys. VL - 66 ID - Wang2014 ER - TY - JOUR AU - Wang, G. W. AU - Kara, A. H. AU - Buhe, E. AU - Fakhar, K. PY - 2015 DA - 2015// TI - Group analysis and conservation laws of coupled system for the carbon nanotubes conveying fluid JO - Rom. J. Phys. VL - 60 ID - Wang2015 ER - TY - JOUR AU - Wang, G. W. AU - Kara, A. H. AU - Fakhar, K. AU - Vega-Guzman, J. AU - Biswas, A. PY - 2016 DA - 2016// TI - Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation JO - Chaos Solitons Fractals VL - 86 UR - https://doi.org/10.1016/j.chaos.2016.02.013 DO - 10.1016/j.chaos.2016.02.013 ID - Wang2016 ER - TY - JOUR AU - Fabian, A. L. AU - Kohl, R. AU - Biswas, A. PY - 2009 DA - 2009// TI - Perturbation of topological solitons due to sine-Gordon equation and its type JO - Commun. Nonlinear Sci. Numer. Simul. VL - 14 UR - https://doi.org/10.1016/j.cnsns.2008.01.013 DO - 10.1016/j.cnsns.2008.01.013 ID - Fabian2009 ER - TY - STD TI - Collins, T, Kara, AH, Bhrawy, AH, Triki, H, Biswas, A: Dynamics of shallow water waves with logarithmic nonlinearity. Rom. Rep. Phys. 68(3) (2016, in press) ID - ref30 ER - TY - JOUR AU - Biswas, A. AU - Ranasinghe, A. PY - 2009 DA - 2009// TI - 1-Soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity JO - Appl. Math. Comput. VL - 214 UR - https://doi.org/10.1016/j.amc.2009.04.001 DO - 10.1016/j.amc.2009.04.001 ID - Biswas2009 ER - TY - JOUR AU - Jawad, A. J. M. AU - Petkovic, M. AU - Biswas, A. PY - 2011 DA - 2011// TI - Soliton solutions for nonlinear Calaogero-Degasperis and potential Kadomtsev-Petviashvili equations JO - Comput. Math. Appl. VL - 62 UR - https://doi.org/10.1016/j.camwa.2011.07.075 DO - 10.1016/j.camwa.2011.07.075 ID - Jawad2011 ER - TY - JOUR AU - Triki, H. AU - Sturdevant, B. J. M. AU - Hayat, T. AU - Aldossary, O. M. AU - Biswas, A. PY - 2011 DA - 2011// TI - Shock wave solutions of the variants of the Kadomtsev-Petviashvili equation JO - Can. J. Phys. VL - 89 UR - https://doi.org/10.1139/p11-083 DO - 10.1139/p11-083 ID - Triki2011 ER - TY - JOUR AU - Bhrawy, A. H. AU - Abdelkawy, M. A. AU - Kumar, S. AU - Biswas, A. PY - 2013 DA - 2013// TI - Solitons and other solutions to Kadomtsev-Petviashvili equation of B-type JO - Rom. J. Phys. VL - 58 ID - Bhrawy2013 ER - TY - JOUR AU - Ebadi, G. AU - Fard, N. Y. AU - Bhrawy, A. H. AU - Kumar, S. AU - Triki, H. AU - Yildirim, A. AU - Biswas, A. PY - 2013 DA - 2013// TI - Solitons and other solutions to the (3+1)$(3+1)$-dimensional extended Kadomtsev-Petviashvili equation with power law nonlinearity JO - Rom. Rep. Phys. VL - 65 ID - Ebadi2013 ER - TY - JOUR AU - Fard, N. Y. AU - Foroutan, M. R. AU - Eslami, M. AU - Mirzazadeh, M. AU - Biswas, A. PY - 2015 DA - 2015// TI - Solitary waves and other solutions to Kadomtsev-Petviashvili equation with spatio-temporal dispersion JO - Rom. J. Phys. VL - 60 ID - Fard2015 ER - TY - JOUR AU - Noether, E. AU - Variationsprobleme, I. PY - 1918 DA - 1918// JO - Nachr. Akad. Wiss. Gött. Math.-Phys. Kl. VL - 2 ID - Noether1918 ER - TY - JOUR AU - Ibragimov, N. H. PY - 2007 DA - 2007// TI - A new conservation theorem JO - J. Math. Anal. Appl. VL - 333 UR - https://doi.org/10.1016/j.jmaa.2006.10.078 DO - 10.1016/j.jmaa.2006.10.078 ID - Ibragimov2007 ER - TY - JOUR AU - Wazwaz, A. M. PY - 2014 DA - 2014// TI - Gaussian solitary waves for the logarithmic-KdV and the logarithmic-KP equations JO - Phys. Scr. VL - 89 UR - https://doi.org/10.1088/0031-8949/89/9/095206 DO - 10.1088/0031-8949/89/9/095206 ID - Wazwaz2014 ER - TY - JOUR AU - Kadomtsev, B. B. AU - Petviashvili, V. I. PY - 1970 DA - 1970// TI - On the stability of solitary waves in weakly dispersive media JO - Sov. Phys. Dokl. VL - 15 ID - Kadomtsev1970 ER -